Solve 7/12div2/9

$$\frac { 7 } { 12 } \div \frac { 2 } { 9 }$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Divide \frac{7}{12} by \frac{2}{9} by multiplying \frac{7}{12} by the reciprocal of \frac{2}{9}.

$$\frac{7}{12}\times \frac{9}{2}$$

Multiply \frac{7}{12} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 9}{12\times 2}$$

Do the multiplications in the fraction \frac{7\times 9}{12\times 2}.

$$\frac{63}{24}$$

Reduce the fraction \frac{63}{24} to lowest terms by extracting and canceling out 3.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$